Answer:
$3,245
Step-by-step explanation:
For a money saved at Simple Interest,
Amount =Simple Interest+Principal
Principal, P=$2750
Rate, r=3%
Time, T=6 Years
[TeX] Simple \: Interest= \frac{Principal X Rate X Time}{100}[/TeX]
[TeX] = \frac{2750X 3 X 6}{100}[/TeX]=$495
Therefore, Amount in Erin's Account after 6 years =2750+495
=$3,245
An inlet pipe on a swimming pool can be used to fill the pool in 2020 hours. The drain pipe can be used to empty the pool in 2121 hours. If the pool is 2323 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool
Answer:
If the pool is 2/3 filled and then the inlet pipe and drain pipe are opened, it will take 140 hours to fill the pool
Step-by-step explanation:
An inlet pipe can fill the pool in hours = 20
Inlet pipe 1 hour work = [tex]\frac{1}{20}[/tex]
A drain pipe can empty the pool in 21 hours
Drain pipe 1 hour work =[tex]\frac{1}{21}[/tex]
Inlet pipe and drain pipe 1 hour together work = [tex]\frac{1}{20}-\frac{1}{21}=\frac{1}{420}[/tex]
Now we are given that the pool is 2/3 filled
So, remaining portion to be filled =[tex]1 - \frac{2}{3} = \frac{1}{3}[/tex]
So, Inlet pipe and drain pipe fill [tex]\frac{1}{420}[/tex] in hours = 1
So, they can fill 1/3 in hours = [tex]\frac{1}{\frac{1}{420}} \times \frac{1}{3} =140 hours[/tex]
Hence If the pool is 2/3 filled and then the inlet pipe and drain pipe are opened, it will take 140 hours to fill the pool
Find the sum of 13/20 and 0.72
Give your answer as a decimal.
The sum of 13/20 and 0.72 when expressed in decimal form gives us the answer as; 1.37.
How to convert fraction to decimal?
We want to find the sum of ¹³/₂₀ and 0.72
This is expressed as;
¹³/₂₀ + 0.72
Now, we want to express the fraction as a decimal. Thus, let us convert to decimal as; ¹³/₂₀ = 0.65
Thus, we now have the decimal expression;
0.65 + 0.72 = 1.37
Thus, we can conclude that the sum of 13/20 and 0.72 when expressed in decimal form gives us 1.37.
Read more about Fraction to decimal at; https://brainly.com/question/1284106
The sum of 13 / 20 and 0.72 when expressed in decimal form gives us the answer as; 1.37.
To find the sum of 13 / 20 and 0.72, we can first convert 13/20 to a decimal by dividing 13 by 20.
This is expressed as;
13 / 20 + 0.72
Now, we want to express the fraction as a decimal. Thus, let us convert to decimal as; 13 / 20 = 0.65
Thus, we now have the decimal expression;
0.65 + 0.72 = 1.37
Thus, we can conclude that the sum of 13 / 20 and 0.72 when expressed in decimal form gives us 1.37.
Learn more about Fraction to decimal here
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Four hundred fifty-six minus two hundred and seventy-eight
Answer:
whoa this hard its almost liek you can use a calculator smh
Step-by-step explanation:
Answer:
178
Step-by-step explanation:
456 - 278 = 178
Twice a number plus twice a second number is 310. The difference between the numbers is 55. Find the numbers by writing and solving a system of equations. Explain how you solved the system.
Answer:
2x+2y=310
x-y=55
multiply seond equation by 2 and adding to first equation
2x-2y=110
add
2x-2y=110
2x+2y=310 +
4x+0y=420
4x=420
divide 4
x=105
sub
x-y=55
105-y=55
minuse 105
-y=-50
mult -1
y=50
the numbers are 105 and 50
2) To bake a cake, we need 2 eggs for every cup of sugar. If we need to make 21 cakes for a bake sale how many eggs and cups of sugar will we need?
Step-by-step explanation:
It means every cake needs 2 eggs and 1 cup of sugar
So first we will multiply 21 by 2 to get the number of eggs = 21 ×2 = 42
So answer is 21 cups and 42 eggs
What is the value of x in the problem attached?
Answer:
20
Step-by-step explanation:
subtract 5 from 85 then divide by 4
85-5=80
80/4=20
g(n) = n - 5; Find g(2)
Answer:
g(2) = -3
Step-by-step explanation:
g(n) = n - 5;
Let n=2
g(2) = 2-5
= -3
Answer:
g(2)= -3
Step-by-step explanation:
We want to find what g is, when n is 2, so we can substitute 2 in for n.
g(n)=n-5
g(2)=2-5
g(2)= -3
smoothie contains 1 banana (B), 4 strawberries (St), 1 container of yogurt (Y), and 3 ice cubes (Ic). Write a balanced equation to describe the relationship. Write a conversion factor to show the relationship between the number of ice cubes and the number of smoothies produced. How many strawberries would you need to make 12 smoothies
Answer:
Step-by-step explanation:
Step 1: List the known quantities and plan the problem.
Known
have 1 Banana (B)
4 Strawberries (St)
1 Yoghurt (Y)
3 Ice cubes (Ic)
Therefore, the equation for our smoothie is shown below:
B+4St+Y+3Ic→BSt4YIc3
Step 2: Conversion factor to show relationship between ice cubes and smoothie
3Ic = BSt4YIc3 (conversion factor)
Step 3: Number of strawberries required to make 12 smoothies
4St = BSt4YIc3 (conversion factor)
12BSt4YIc3 * (4St/BSt4YIc3) = 48St
Answer:
A ;w ;
Step-by-step explanation:
Did the assignment
A bakery sold 101 cupcakes in one day. The head baker predicted he would sell 81 cupcakes that day. What was the percent error of the baker's prediction? *
Answer:
19.8% is the percent error of the baker's prediction.
Step-by-step explanation:
We are given the following in the question:
Total number of cupcakes sold in 1 day = 101
Predicted number of cupcakes sold = 81
We have to find the percent error of the baker's prediction.
Percentage error =
[tex]=\dfrac{\text{Actual value - Predicted value}}{\text{Actual values}}\times 100\%[/tex]
Putting values, we get
[tex]=\dfrac{101-81}{101}\times 100\%\\\\=19.8\%[/tex]
Thus, 19.8% is the percent error of the baker's prediction.
During the winter months there is a decrease of between 10 and 30 percent in business which of the following could not be the percent winter business is of the normal business
Answer: 30
Step-by-step explanation:
Consider the circle above. What is the approximate area of the circle?
Answer:
The area of a circle is : π (Pi) times the Radius squared : A = π r 2 or, when you know the Diameter: A = (π /4) × D 2 or, when you know the Circumference: A = C 2 / 4 π
George and Maria decided to create a garden in their backyard. George works on the garden every third day and Maria works on the garden every fourth day.
If they worked on the garden today, the number of days until they work on the same day again would be
.
Answer:
After 12 days
Step-by-step explanation:
4×3
The soot produced by a garbage incinerator spreads out in a circular pattern. The depth, H(r), in millimeters, of the soot deposited each month at a distance r kilometers from the incinerator is given by H(r)=0.116eâ2.3r.Write a definite integral (with independent variable r) giving the total volume of soot deposited within 5 kilometers of the incinerator each month.
Answer:
V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) ] dr with upper limit of 5 and lower limit of 0. Unit in m^3.
Step-by-step explanation:
H(r) = 0.116e^(-2.3r)
H(r) = millimeters
r = kilometers
We'll use Riemann's sum to approximate the total area underneath the region of the integral.
Using Riemann's sum, we break the region into rings of radius r and width ∆r.
Area of rings = πr^2
Area of the rings with radius r and width ∆r, then becomes=
π(r+ ∆r)^2 - πr^2
On expanding:
Area = π[ r^2 + 2r∆r + (∆r)^2] - πr^2
= πr^2 + 2πr∆r + π(∆r)^2 - πr^2
= 2πr∆r + π(∆r)^2
Area = ∆r(2πr + π∆r)
Area/∆r = 2πr + π∆r
At lim ∆r tends to zero
Area/∆r = 2πr + 0 = 2πr
Area = 2πr∆r
Volume = Area * depth
= Area * H(r)
∆V approximately equal to:
2πr∆r * H(r)
Sum of the contribution for all the rings for the volume (total volume):
V approximately sum of [H(r) *2πr∆r]
V ≈ ∑H(r)· 2πr∆r.
Taking the limit as ∆r tends to zero,
V = integral of [ 0.116e^(-2.3r) * 2πr ] dr with upper limit of 5 and lower limit of 0.
The term H(r) and Area are not in the same unit. We would convert both to meters.
H(r) = mm = 10^(-3)m
Area = km^2 = km*km
= (10^3)m * (10^3)m = (10^6)m^2
V = integral of [(10^-3m) * 0.116e^(-2.3r) *2πr (10^6m^2) dr] with upper limit of 5 and lower limit of 0.
V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) dr ] with upper limit of 5 and lower limit of 0. Unit in m^3.
A car rental companies standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge (in dollars) is given by the function , where is the number of miles driven. The company also offers an option to insure the car against damage. The insurance charge (in dollars) is given by the function . Let be the total charge (in dollars) for a rental that includes insurance. Write an equation relating to . Simplify your answer as much as possible.
The rental's total charge that includes insurance, represented by T(m), is the sum of the standard charge function C(m) and the insurance charge I, as in the equation T(m) = C(m) + I.
The question provided is incomplete as the functions for the standard charge and the insurance charge are not specified. However, assuming the functions are given by C(m) for the standard charge, where m is the number of miles driven, and I for the insurance charge, the total charge would be represented by the function T(m). The equation that relates the total charge to both the standard charge and the insurance charge would therefore be T(m) = C(m) + I. Simplifying the equation does not apply in this case as the individual functions are not provided for further manipulation.
Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her storage bench Patricia has 15 feet of fabric how many more feet of fabric does she need
Answer:
24 feet
Step-by-step explanation:
According to the question, Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her storage bench
So, she needs 13 yards
converting into feet
1 yard = 3 feet
13 yards x 3 = 39 feet
Now, she already has 15 feet of fabric.
Finding out the difference : 39 - 15= 24 feet
Therefore, she needs 24 feet more of fabric
Answer:
She needs an additional 24 feet of fabric.
Step-by-step explanation:
In order to solve this problem we first need to calculate how many yards of fabric Patricia needs. This will be given by the sum of the fabric needed for the curtains and the fabric required to cover the storage bench. As seen bellow:
required fabric = 10 + 3 = 13 yards
We need to convert this value to feets, so the units are the same. To do that we multiply by 3.
required fabric = 13*3 = 39 feet
To know how many more fabric she needs we have to subtract the required fabric for the task by the total she already has. This is shown bellow:
needed fabric = 39 - 15 = 24 feet
She needs an additional 24 feet of fabric.
Need help please answer worth 25 points
The equation is [tex]-\frac{1}{2} x+3[/tex]
This is what you should input in the chart:
(0,3)
(3,2)
(6,1)
(9,0)
(12,-1)
(15,-2)
2
3
x − 9 − 2x + 2 = 1
Answer: x = 8
Step-by-step explanation: Solve for the equation x - 9 - 2x + 2 = 1.
Step 1: x - 9 - 2x + 2 = 1
Step 2: x + (-2x) - 9 + 2
Step 3: x - 7 = 1
Step 4: x - 7 + 7 = 1 +7
Step 5: x = 8
What is the greatest common factor of the terms in the expression 21 x minus 18 x + 28 x y?
3
3x
x
xy
Answer:
I believe it’s x but i’m not 100% sure. hope this helps :)
Step-by-step explanation:
Answer:
it’s x hope this helps :)
Step-by-step explanation:
The exterior angles of a quadrilateral have measures of 72°, 58°, 2xº, and 3xº. Find the value of x.
x=
Answer:
46
Step-by-step explanation:
72 + 58 + 2x + 3x = 360
5x = 230
x = 46
Consider this cube with a volume of 64 cubic centimeters. What can be concluded of this cube? Check all that apply. The expression s2, where s represents the side length, was used to solve for the volume. This is a perfect cube. The side length is 8. The side length is 4. Taking the cube root of the volume will determine the side length.
Answer:
(B)This is a perfect cube.
(D)The side length is 4.
(E)Taking the cube root of the volume will determine the side length.
Step-by-step explanation:
Given a cube with a volume of 64 cubic centimeters.
The following conclusions can be reached:
(B)This is a perfect cube.
64=4 X 4 X4
(D)The side length is 4.
Volume of a Cube =[tex]s^3[/tex]
4 X 4 X4 =64 cubic centimeters.
(E)Taking the cube root of the volume will determine the side length.
[tex]\sqrt[3]{64}=4 cm[/tex]
These are not valid conclusions.
(A)The expression [tex]s^2[/tex], where s represents the side length, was used to solve for the volume.
(C)The side length is 8.
Answers on edugenuity
B
D
E
The base of a polyhedron is a square and the lateral faces are triangles. What polyhedron is being described??
9514 1404 393
Answer:
square pyramid
Step-by-step explanation:
The description fits that of a square pyramid.
i will give u a crisp high five if u answer his for me playboi
Answer:
The answer is around 190°
Step-by-step explanation:
You use A= (central angle/ 360) x πr²
Substitute the values you have and solve:
59.66 yd² = [tex]\frac{x}{360}[/tex] x π x (6)²
59.66 yd² = [tex]\frac{x}{360}[/tex] x π x 36
Solve for x and you get 189.9036781 ≈ 190°
Answer:
around 190°
Step-by-step explanation:
O José lançou uma bola de cima de um muro. A distância da bola ao chão, em metros, quando percorre horizontal, é dada por d (x) = -0,4x/2 + 1,6x + 2
Answer:
[tex]1,43 m[/tex]
Step-by-step explanation:
1) Vamos reescrevê-la já que há dois termos do 1º grau e portanto, admite simplificação:
[tex]d(x)=\frac{-0,4x}{2}+1,6x+2\\d(x)=\left ( \frac{-0,4+3,2}{2} \right )x+2\\d(x)=\frac{2,8}{2}x+2\\d(x)=1,4x+2[/tex]
2) Agora, vamos fazer uma leitura mais atenta da função na qual d, indica "distância" e x
Considerando que José está em cima do muro, e jogou a boa a distância é calculada
[tex]0=1,4x+2\\x=\frac{-2}{1,4}\\x\approx -1.43\\[/tex]
Como distância é um valor absoluto, isto é não existem distâncias "negativas" então |-1,43|=1,43
3)
Ginger likes to ride her bicycle and she wants to ride 30 miles the first day, 55 miles the second day and 100 miles the third day. How many miles will she ride during the three days?
Answer:
30+55+100=185
Step-by-step explanation:
8(2x-14)+13=4x-27
I need help
Answer:
12/70
Step-by-step explanation:
expand brackets
16x-112 + 13 = 4x-27
16x - 99 = 4x-27
16x= 4x + 70
12x=70
x = 12/70
Find the value of x (no labels)
Answer:
x = 100
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
x+ 42+ 38 = 180
Combine like terms
x + 80 = 180
Subtract 80 from each side
x+80-80 = 180-80
x = 100
Answer:
Easy!
Step-by-step explanation:
First, we have to know that:
The Sum of All Angles in a Triangle is 180 Degrees
(Self-explanatory, really)
This means that 42, 38, and x added together will equal 180 degrees, thus me set up our equation:
[tex]42+38+x=180\\x=100[/tex]
See? Simple.
Hope this helps!
FYI Remember that x= 100 Degrees
The slope of the graph of y = -7x is what?
Answer:
-7
Step-by-step explanation:
In y = mx + c,
m is the slope
m is the coefficient of x
in y = -7x,
m = -7
3 Ms. O'Conner took a poll of 80 students to find out
how they get to school. How many more students get
to school on a bus than in a car?
How We Get to School
12%
walk
40%
bus
18%
bicycle
30%
car
Answer:
8!
Step-by-step explanation:
find numbers for school bus and car by multiplying percentages in decimal form 40% turns into .40 and 30 into .30
0.4x80 and 0.3x80 = 32 and 24. 32-24=8
Answer: 8!
Step-by-step explanation:
20 POINTS PLEASE HELP
Identify a zero of the function x^2+2x-3
a) -3
b) -1
c) 0
d) 2
Answer:
A
Step-by-step explanation:
Essentially, if we plug in any of the given choices into the function and we get 0, then that's our answer.
A) (-3)^2 + 2 * (-3) - 3 = 9 - 6 - 3 = 0 - correct
B) (-1)^2 + 2 * (-1) - 3 = 1 - 2 - 3 = -4 - incorrect
C) 0^2 + 2 * 0 - 3 = -3 - incorrect
D) 2^2 + 2 * 2 - 3 = 4 + 4 - 3 = 5 - incorrect
So, the answer is A.
The alternative, more "formal" way of doing this problem is to factor the quadratic: x^2 + 2x - 3 = (x + 3)(x - 1) = 0
Then set each of these equal to 0: x + 3 = 0 and x - 1 = 0
We get the values of x = -3 and x = 1. Only -3 is one of the answer choices, so A is correct.
Hope this helps!
Answer:
a) -3
Step-by-step explanation:
Zero of a function is the x-value where y = 0
x² + 2x - 3 = 0
x² + 3x - x - 3 = 0
x(x + 3) - (x + 3) = 0
(x - 1)(x + 3) = 0
x = 1, -3
Jenaya is reading a book. She is 75% finished. She read 120 pages. How many pages is the total book?
Answer:
160 pages.
Step-by-step explanation:
75% = 120 pages so , by proportion, 100% = 120 * 100/75
= 120 * 4/3
= 40 * 4
= 160 pages.
Answer:
160 pages
Step-by-step explanation:
75% of x = 120
Turn 75% into a fraction or decimal
75/100 * x = 120
0.75 * x =120
0.75 is multiplying with x so to get rid of 0.75, we have to multiply both sodes by 0.75
x = 120/0.75
x = 160
So there are a total of 160 pages in the book.